from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_constructions", ["permutation_action",
"walsh_matrix"])
_lazy_import("sage.coding.linear_code", [
"LinearCode",
"LinearCodeFromVectorSpace",
"self_orthogonal_binary_codes"])
# Functions removed from the global namespace
_lazy_import('sage.coding', 'codes_catalog', 'codes')
_lazy_import('sage.coding', 'channels_catalog', 'channels')
LinearCodeFromCheckMatrix, #deprecated
QuadraticResidueCode,
QuadraticResidueCodeEvenPair,
QuadraticResidueCodeOddPair,
random_linear_code,
RandomLinearCode, #deprecated
ReedSolomonCode,
TernaryGolayCode,
ToricCode,
WalshCode)
from .grs import GeneralizedReedSolomonCode
from .reed_muller_code import ReedMullerCode, BinaryReedMullerCode
from .extended_code import ExtendedCode
from .subfield_subcode import SubfieldSubcode
from .guava import QuasiQuadraticResidueCode, RandomLinearCodeGuava
_lazy_import('sage.coding.punctured_code', 'PuncturedCode')
from .hamming_code import HammingCode
from . import decoders_catalog as decoders
from . import encoders_catalog as encoders
from . import bounds_catalog as bounds
_lazy_import('sage.coding', 'databases')
del _lazy_import
from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index
import sys as _sys
__doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index(
_sys.modules[__name__], only_local_functions=False))
# Implementation note:
#
# This module is imported as "codes" in all.py so that codes.<tab> is available
# in the global namespace.
from sage.misc.lazy_import import lazy_import as _lazy_import
from .code_constructions import (BCHCode, BinaryGolayCode, CyclicCodeFromGeneratingPolynomial,
CyclicCode, CyclicCodeFromCheckPolynomial, DuadicCodeEvenPair,
DuadicCodeOddPair, ExtendedBinaryGolayCode,
ExtendedQuadraticResidueCode, ExtendedTernaryGolayCode,
LinearCode, LinearCodeFromCheckMatrix,
QuadraticResidueCode, QuadraticResidueCodeEvenPair,
QuadraticResidueCodeOddPair, RandomLinearCode,
ReedSolomonCode, TernaryGolayCode,
ToricCode, TrivialCode, WalshCode)
from .grs import GeneralizedReedSolomonCode
from .reed_muller_code import ReedMullerCode, BinaryReedMullerCode
from .extended_code import ExtendedCode
from .subfield_subcode import SubfieldSubcode
from .guava import QuasiQuadraticResidueCode, RandomLinearCodeGuava
_lazy_import('sage.coding.punctured_code', 'PuncturedCode')
from .hamming_code import HammingCode
from . import decoders_catalog as decoders
from . import encoders_catalog as encoders
from . import bounds_catalog as bounds
from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index
import sys as _sys
__doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index(_sys.modules[__name__], only_local_functions=False))
r"""
Index of Channels: the information theoretic notion of transmission
The ``channels`` object may be used to access the codes that Sage can build.
- :class:`channel_constructions.ErrorErasureChannel <sage.coding.channel_constructions.ErrorErasureChannel>`
- :class:`channel_constructions.QarySymmetricChannel <sage.coding.channel_constructions.QarySymmetricChannel>`
- :class:`channel_constructions.StaticErrorRateChannel <sage.coding.channel_constructions.StaticErrorRateChannel>`
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.channels_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from __future__ import absolute_import
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.channel_constructions', ['ErrorErasureChannel',
'QarySymmetricChannel',
'StaticErrorRateChannel'])
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.encoders_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
# 2016 Tania Richmond <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.cyclic_code', ['CyclicCodePolynomialEncoder',
'CyclicCodeVectorEncoder'])
_lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder')
_lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
_lazy_import('sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder',
'LinearCodeSystematicEncoder'])
_lazy_import('sage.coding.punctured_code', 'PuncturedCodePuncturedMatrixEncoder')
_lazy_import('sage.coding.reed_muller_code', ['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder'])
_lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeParityCheckEncoder')
_lazy_import('sage.coding.parity_check_code', ['ParityCheckCodeGeneratorMatrixEncoder','ParityCheckCodeStraightforwardEncoder'])
**Generic encoders**
:class:`linear_code.LinearCodeGeneratorMatrixEncoder <sage.coding.linear_code.LinearCodeGeneratorMatrixEncoder>`
**Generalized Reed-Solomon code encoders**
- :class:`grs.GRSEvaluationVectorEncoder <sage.coding.grs.GRSEvaluationVectorEncoder>`
- :class:`grs.GRSEvaluationPolynomialEncoder <sage.coding.grs.GRSEvaluationPolynomialEncoder>`
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.encoders_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.linear_code', 'LinearCodeGeneratorMatrixEncoder')
_lazy_import('sage.coding.grs',
['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
- :class:`grs.GRSEvaluationPolynomialEncoder <sage.coding.grs.GRSEvaluationPolynomialEncoder>`
**Extended code encoders**
- :class:`extended_code.ExtendedCodeExtendedMatrixEncoder <sage.coding.extended_code.ExtendedCodeExtendedMatrixEncoder>`
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.encoders_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder',
'LinearCodeParityCheckEncoder'])
_lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
_lazy_import('sage.coding.reed_muller_code', ['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder'])
_lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder')
_lazy_import('sage.coding.punctured_code', 'PuncturedCodePuncturedMatrixEncoder')
_lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeParityCheckEncoder')
from __future__ import absolute_import
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_constructions",
["permutation_action", "walsh_matrix"])
from sage.misc.superseded import \
deprecated_callable_import as _deprecated_callable_import, \
deprecated_function_alias as _deprecated_function_alias
_deprecated_callable_import(
19315, "sage.coding.code_bounds", globals(), locals(), [
"codesize_upper_bound", "dimension_upper_bound", "volume_hamming",
"gilbert_lower_bound", "plotkin_upper_bound", "griesmer_upper_bound",
"elias_upper_bound", "hamming_upper_bound", "singleton_upper_bound",
"gv_info_rate", "entropy", "gv_bound_asymp", "hamming_bound_asymp",
"singleton_bound_asymp", "plotkin_bound_asymp", "elias_bound_asymp",
"mrrw1_bound_asymp"
], ("This method soon will not be available in that way."
"Please call codes.bounds.%(name)s instead"))
_lazy_import("sage.coding.linear_code", [
"LinearCode", "LinearCodeFromVectorSpace", "self_orthogonal_binary_codes"
])
# Functions removed from the global namespace
_lazy_import(
'sage.coding.databases',
'best_linear_code_in_guava',
"best_known_linear_code",
from __future__ import absolute_import
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_constructions", ["permutation_action",
"walsh_matrix"])
_lazy_import("sage.coding.linear_code", [
"LinearCode",
"LinearCodeFromVectorSpace",
"self_orthogonal_binary_codes"])
# Functions removed from the global namespace
_lazy_import('sage.coding', 'codes_catalog', 'codes')
_lazy_import('sage.coding', 'channels_catalog', 'channels')
r"""
Index of bounds
The ``codes.bounds`` object may be used to access the bounds that Sage can compute.
{INDEX_OF_FUNCTIONS}
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.bounds_catalog import *
"""
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_bounds", [
"codesize_upper_bound", "dimension_upper_bound", "volume_hamming",
"gilbert_lower_bound", "plotkin_upper_bound", "griesmer_upper_bound",
"elias_upper_bound", "hamming_upper_bound", "singleton_upper_bound",
"gv_info_rate", "entropy", "gv_bound_asymp", "hamming_bound_asymp",
"singleton_bound_asymp", "plotkin_bound_asymp", "elias_bound_asymp",
"mrrw1_bound_asymp"
])
from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index
import sys as _sys
__doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index(
_sys.modules[__name__], only_local_functions=False))
{INDEX_OF_FUNCTIONS}
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.bounds_catalog import *
"""
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_bounds", ["codesize_upper_bound",
"dimension_upper_bound",
"volume_hamming",
"gilbert_lower_bound",
"plotkin_upper_bound",
"griesmer_upper_bound",
"elias_upper_bound",
"hamming_upper_bound",
"singleton_upper_bound",
"gv_info_rate",
"entropy",
"gv_bound_asymp",
"hamming_bound_asymp",
"singleton_bound_asymp",
"plotkin_bound_asymp",
"elias_bound_asymp",
"mrrw1_bound_asymp"])
from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index
import sys as _sys
__doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index(_sys.modules[__name__], only_local_functions=False))
The ``channels`` object may be used to access the codes that Sage can build.
- :class:`channel_constructions.ErrorErasureChannel <sage.coding.channel_constructions.ErrorErasureChannel>`
- :class:`channel_constructions.QarySymmetricChannel <sage.coding.channel_constructions.QarySymmetricChannel>`
- :class:`channel_constructions.StaticErrorRateChannel <sage.coding.channel_constructions.StaticErrorRateChannel>`
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.channels_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from __future__ import absolute_import
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.channel_constructions', ['ErrorErasureChannel',
'QarySymmetricChannel',
'StaticErrorRateChannel'])
# We don't want this to appear in tab completion
del absolute_import
To import these names into the global namespace, use:
sage: from sage.coding.decoders_catalog import *
"""
from __future__ import absolute_import
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.bch', 'BCHUnderlyingGRSDecoder')
_lazy_import('sage.coding.cyclic_code', 'CyclicCodeSurroundingBCHDecoder')
_lazy_import('sage.coding.extended_code', 'ExtendedCodeOriginalCodeDecoder')
_lazy_import('sage.coding.grs', ['GRSBerlekampWelchDecoder',
'GRSErrorErasureDecoder',
'GRSGaoDecoder',
'GRSKeyEquationSyndromeDecoder'])
from .guruswami_sudan.gs_decoder import GRSGuruswamiSudanDecoder
_lazy_import('sage.coding.linear_code', ['LinearCodeNearestNeighborDecoder',
'LinearCodeSyndromeDecoder'])
_lazy_import('sage.coding.punctured_code', 'PuncturedCodeOriginalCodeDecoder')
_lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeOriginalCodeDecoder')
sage: from sage.coding.encoders_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
# 2016 Tania Richmond <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.cyclic_code',
['CyclicCodePolynomialEncoder', 'CyclicCodeVectorEncoder'])
_lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder')
_lazy_import('sage.coding.grs_code',
['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
_lazy_import(
'sage.coding.linear_code',
['LinearCodeGeneratorMatrixEncoder', 'LinearCodeSystematicEncoder'])
_lazy_import('sage.coding.punctured_code',
'PuncturedCodePuncturedMatrixEncoder')
_lazy_import('sage.coding.reed_muller_code',
['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder'])
_lazy_import('sage.coding.subfield_subcode',
'SubfieldSubcodeParityCheckEncoder')
_lazy_import('sage.coding.parity_check_code', [
'ParityCheckCodeGeneratorMatrixEncoder',
'ParityCheckCodeStraightforwardEncoder'
sage: from sage.coding.decoders_catalog import *
"""
from __future__ import absolute_import
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.bch', 'BCHUnderlyingGRSDecoder')
_lazy_import('sage.coding.cyclic_code', 'CyclicCodeSurroundingBCHDecoder')
_lazy_import('sage.coding.extended_code', 'ExtendedCodeOriginalCodeDecoder')
_lazy_import('sage.coding.grs', [
'GRSBerlekampWelchDecoder', 'GRSErrorErasureDecoder', 'GRSGaoDecoder',
'GRSKeyEquationSyndromeDecoder'
])
from .guruswami_sudan.gs_decoder import GRSGuruswamiSudanDecoder
_lazy_import('sage.coding.linear_code', [
'LinearCodeNearestNeighborDecoder', 'LinearCodeSyndromeDecoder',
'LinearCodeInformationSetDecoder'
])
_lazy_import('sage.coding.punctured_code', 'PuncturedCodeOriginalCodeDecoder')
_lazy_import('sage.coding.subfield_subcode',
'SubfieldSubcodeOriginalCodeDecoder')
- Florentin Jaffredo (2018) : initial version
"""
# *****************************************************************************
# Copyright (C) 2018 Florentin Jaffredo <*****@*****.**>
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 2 of the License, or
# (at your option) any later version.
# http://www.gnu.org/licenses/
# *****************************************************************************
# Lazy import from examples folders:
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.manifolds.differentiable.examples.real_line',
'OpenInterval')
_lazy_import('sage.manifolds.differentiable.examples.real_line', 'RealLine')
_lazy_import('sage.manifolds.differentiable.examples.euclidean',
'EuclideanSpace')
_lazy_import('sage.manifolds.differentiable.examples.sphere', 'Sphere')
def Minkowski(positive_spacelike=True, names=None):
"""
Generate a Minkowski space of dimension 4.
By default the signature is set to `(- + + +)`, but can be changed to
`(+ - - -)` by setting the optional argument ``positive_spacelike`` to
``False``. The shortcut operator ``.<,>`` can be used to
specify the coordinates.
from __future__ import absolute_import
from .number_field import (NumberField, NumberFieldTower, CyclotomicField, QuadraticField,
is_fundamental_discriminant, is_real_place)
from .number_field_element import NumberFieldElement
from .order import EquationOrder, GaussianIntegers, EisensteinIntegers
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.rings.number_field.totallyreal', 'enumerate_totallyreal_fields_prim')
_lazy_import('sage.rings.number_field.totallyreal_data', 'hermite_constant')
_lazy_import('sage.rings.number_field.totallyreal_rel', 'enumerate_totallyreal_fields_all')
_lazy_import('sage.rings.number_field.totallyreal_rel', 'enumerate_totallyreal_fields_rel')
from .unit_group import UnitGroup
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.encoders_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.linear_code', [
'LinearCodeGeneratorMatrixEncoder', 'LinearCodeParityCheckEncoder',
'LinearCodeSystematicEncoder'
])
_lazy_import('sage.coding.grs',
['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
_lazy_import('sage.coding.reed_muller_code',
['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder'])
_lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder')
_lazy_import('sage.coding.punctured_code',
'PuncturedCodePuncturedMatrixEncoder')
_lazy_import('sage.coding.subfield_subcode',
'SubfieldSubcodeParityCheckEncoder')
from __future__ import absolute_import
from .number_field import (NumberField, NumberFieldTower, CyclotomicField,
QuadraticField, is_fundamental_discriminant,
is_real_place)
from .number_field_element import NumberFieldElement
from .order import EquationOrder, GaussianIntegers, EisensteinIntegers
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.rings.number_field.totallyreal',
'enumerate_totallyreal_fields_prim')
_lazy_import('sage.rings.number_field.totallyreal_data', 'hermite_constant')
_lazy_import('sage.rings.number_field.totallyreal_rel',
'enumerate_totallyreal_fields_all')
_lazy_import('sage.rings.number_field.totallyreal_rel',
'enumerate_totallyreal_fields_rel')
from .unit_group import UnitGroup
from __future__ import absolute_import
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_constructions", ["permutation_action",
"walsh_matrix"])
_lazy_import("sage.coding.linear_code", [
"LinearCode",
"LinearCodeFromVectorSpace",
"self_orthogonal_binary_codes"])
# Functions removed from the global namespace
_lazy_import('sage.coding.databases','best_linear_code_in_guava', "best_known_linear_code",
deprecation=(21165, "best_known_linear_code has moved to sage.coding.databases.best_linear_code_in_guava"))
_lazy_import('sage.coding.databases','best_linear_code_in_guava', "best_known_linear_code_www",
deprecation=(21165, "best_known_linear_code_www has moved to sage.coding.databases.best_linear_code_in_guava"))
_lazy_import('sage.coding.databases','bounds_on_minimum_distance_in_guava', "bounds_minimum_distance",
deprecation=(21165, "bounds_minimum_distance has moved to sage.coding.databases.bounds_on_minimum_distance_in_guava"))
_lazy_import('sage.coding.databases','self_orthogonal_binary_codes', "self_orthogonal_binary_codes",
deprecation=(21165, "self_orthogonal_binary_codes has moved to sage.coding.databases.self_orthogonal_binary_codes"))
_lazy_import('sage.coding.databases','self_dual_binary_codes', "self_dual_codes_binary",
deprecation=(21165, "self_dual_codes_binary has moved to sage.coding.databases.self_dual_binary_codes"))
_lazy_import('sage.coding.delsarte_bounds','krawtchouk', "Krawtchouk",
deprecation=(20908, "Krawtchouk will be removed from the global namespace. Please use codes.bounds.krawtchouk instead."))
_lazy_import('sage.coding.delsarte_bounds','krawtchouk', "Kravchuk",
deprecation=(20908, "Kravchuk will be removed from the global namespace. Please use codes.bounds.krawtchouk instead."))
_lazy_import('sage.coding.delsarte_bounds',
["delsarte_bound_hamming_space", "delsarte_bound_additive_hamming_space"],
# version 2 or later (at your preference).
#
# https://www.gnu.org/licenses/
#*****************************************************************************
from __future__ import absolute_import
# This module is imported as "codes" in all.py so that codes.<tab> is
# available in the global namespace.
from sage.misc.lazy_import import lazy_import as _lazy_import
from .linear_code import LinearCode
_lazy_import('sage.coding.code_constructions',
['DuadicCodeEvenPair', 'DuadicCodeOddPair',
'ExtendedQuadraticResidueCode', 'from_parity_check_matrix',
'QuadraticResidueCode', 'QuadraticResidueCodeEvenPair',
'QuadraticResidueCodeOddPair', 'random_linear_code',
'ToricCode', 'WalshCode'])
_lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcode')
_lazy_import('sage.coding.extended_code', 'ExtendedCode')
_lazy_import('sage.coding.punctured_code', 'PuncturedCode')
_lazy_import('sage.coding.parity_check_code', 'ParityCheckCode')
_lazy_import('sage.coding.cyclic_code', 'CyclicCode')
_lazy_import('sage.coding.bch_code', 'BCHCode')
_lazy_import('sage.coding.grs_code', ['GeneralizedReedSolomonCode', 'ReedSolomonCode'])
_lazy_import('sage.coding.reed_muller_code', ['BinaryReedMullerCode', 'ReedMullerCode'])
_lazy_import('sage.coding.hamming_code', 'HammingCode')
_lazy_import('sage.coding.golay_code', 'GolayCode')
_lazy_import('sage.coding.goppa_code', 'GoppaCode')
**Generic encoders**
:class:`linear_code.LinearCodeGeneratorMatrixEncoder <sage.coding.linear_code.LinearCodeGeneratorMatrixEncoder>`
:class:`linear_code.LinearCodeParityCheckEncoder <sage.coding.linear_code.LinearCodeParityCheckEncoder>`
**Generalized Reed-Solomon code encoders**
- :class:`grs.GRSEvaluationVectorEncoder <sage.coding.grs.GRSEvaluationVectorEncoder>`
- :class:`grs.GRSEvaluationPolynomialEncoder <sage.coding.grs.GRSEvaluationPolynomialEncoder>`
.. NOTE::
To import these names into the global namespace, use:
sage: from sage.coding.encoders_catalog import *
"""
#*****************************************************************************
# Copyright (C) 2009 David Joyner <*****@*****.**>
# 2015 David Lucas <*****@*****.**>
#
# Distributed under the terms of the GNU General Public License (GPL),
# version 2 or later (at your preference).
#
# http://www.gnu.org/licenses/
#*****************************************************************************
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import('sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder',
'LinearCodeParityCheckEncoder'])
_lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
from sage.misc.lazy_import import lazy_import as _lazy_import
_lazy_import("sage.coding.code_constructions",
["permutation_action", "walsh_matrix"])
_lazy_import("sage.coding.linear_code", "LinearCode")
# Functions removed from the global namespace
_lazy_import('sage.coding', 'codes_catalog', 'codes')
_lazy_import('sage.coding', 'channels_catalog', 'channels')
